[HTML][HTML] Random dynamics of p-Laplacian lattice systems driven by infinite-dimensional nonlinear noise

R Wang, B Wang - Stochastic Processes and their Applications, 2020 - Elsevier
This article is concerned with the global existence and random dynamics of the non-
autonomous p-Laplacian lattice system defined on the entire integer set driven by infinite …

Travelling wave solutions for delayed lattice reaction–diffusion systems

CH Hsu, JJ Lin, TS Yang - IMA Journal of Applied Mathematics, 2015 - academic.oup.com
In this work, we investigate the existence of increasing travelling wave solutions for a class
of delayed lattice reaction–diffusion systems. The systems arise from various epidemic and …

Asymptotic speed of propagation and traveling wavefronts for a lattice vector disease model

Z Xu, P Weng - Nonlinear Analysis: Real World Applications, 2011 - Elsevier
In this paper, we study a lattice vector disease model with infinite delay and global spatial
interaction. We obtain the existence of solutions of the initial value problem, the asymptotic …

Travelling wave solutions for Kolmogorov-type delayed lattice reaction–diffusion systems

CH Hsu, JJ Lin, TH Yang - IMA Journal of Applied Mathematics, 2015 - academic.oup.com
This work investigates the existence and non-existence of travelling wave solutions for
Kolmogorov-type delayed lattice reaction–diffusion systems. Employing the cross iterative …